Stability and Stabilization of Time-Delay Systems: An Eigenvalue-Based Approach (Advances in Design and Control) - Softcover

Michiels, Wim; Niculescu, Silviu-Iulian

Softcover

ISBN 10: 0898716322 ISBN 13: 9780898716320

Publisher: Society for Industrial and Applied Mathematics, 2008

Synopsis

Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation, or transport phenomena in shared environments, in heredity, and in competition in population dynamics. This monograph addresses the problem of stability analysis and the stabilisation of dynamical systems subjected to time-delays. It presents a wide and self-contained panorama of analytical methods and computational algorithms using a unified eigenvalue-based approach illustrated by examples and applications in electrical and mechanical engineering, biology, and complex network analysis. This text bridges the fields of control (analysis and feedback design, robustness, and uncertainty) and numerical analysis (explicit algorithms, and methods). The authors provide an overall solution to the (robust) stability analysis and stabilisation problem of linear time-delay systems, which is the result of this cross-fertilisation of control theory, numerical linear algebra, numerical bifurcation analysis and optimisation.

About this title

About the Authors

Wim Michiels is a Postdoctoral Fellow of the Fund for Scientific Research-Flanders at the Department of Computer Science of the K.U. Leuven.

Silviu-Iulian Niculescu is the Research Director at CNRS L2S (Laboratory of Signals and Systems), Gif-sur-Yvette, France.

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 2008
• Language: English
• ISBN 10: 0898716322
• ISBN 13: 9780898716320
• Binding: Paperback
• Number of pages: 400